Harman had his short game working for the second consecutive day, taking 26 putts after needing only 23 in the first round.
"The putter has been really good so far but I've been in position a lot," he said. "I've had a lot of good looks at it. I'm just able to put a little pressure on the course right now, which is nice."
Jones hit 16 of 18 greens for the second consecutive day, following up his first round 65 with a 66.
Bryson DeChambeau (66), Paul Casey (67) and Russell Henley (65) were two strokes back going into the weekend.
But Johnson, who started on the 10th tee, had the day's most interesting round, which included just two birdies but one amazing par save. He hit the ball into the TPC River Highland's signature lake on 17, dropped across the water near the 16th tee box and then put his third shot within 8 feet of the hole from 234 yards away.
"You can't hit that shot and then not make that putt," he said. "It felt good to get away with that four. That's as good an up and down as I've ever witnessed or performed."
Lanto Griffin and two-time Travellers champion Bubba Watson both shot a 63 to move into contention heading into the weekend, three shots behind the leader.
Rory McIlroy is also at 7 under after a 69. McIlroy, Watson and Justin Thomas (5 under) were grouped together, drawing large galleries.
"I definitely helps," Thomas said. "It's fun playing with good friends. You definitely get more momentum when guys are playing well. I obviously couldn't get a whole lot of momentum out there. I was kind of hovering around 1 or 2-under. It was pretty much just Bubba. Rory didn't play great either and both of us could have had a lot lower rounds."
Defending champion Jordan Spieth, tied with Johnson after an opening 63, had a 73 to drop into a tie for 25th at 4 under. His round, which started on the back nine, included a triple bogey on the par-5 13th hole and an eagle on par-5 sixth, when he put his second shot within 2 feet of the hole from 276 yards away.
"I don't go to the range after 63s very often, and I was there for an hour yesterday trying to figure out the golf swing," he said. "So it's not like things are on. Sometimes it can get disguised by rounds but it's not far off."
Masters champion Patrick Reed, coming off a fourth-place finish in the US Open, shot a 67 to miss the cut by a shot at minus-1.
- AP